recurrent sequence

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The Geometric Form of Automaton Mappings, Recurrent and Z-recurrent Definition of Sequences

Authors: Tverdokhlebov V. A.

For automaton mappings we present a method to construct geometric images, a method for complexity estimate by geometric forms, a method of Z-recurrent definition of sequences. A method for complexity estimate for finite sequences by recurrent and Z-recurrent numerical indicators is proposed. Numerical indicators of recurrent and Z-recurrent definitions of sequences are systematized into the spectrum of recurrent definitions with 5 levels of numerical indicators.